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Finding the Fourth Proportional to 8,203.47, 11,319.77 and 4,617.99

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Solution

The fourth proportional to 8,203.47, 11,319.77 and 4,617.99 is: 6,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.47 : 11,319.77 = 4,617.99 : x
  2. Step 2: Convert to fraction form
    8,203.47/11,319.77 = 4,617.99/x
  3. Step 3: Cross multiply
    8,203.47x = 11,319.77 × 4,617.99
  4. Step 4: Simplify right side
    8,203.47x = 52,274,584.66
  5. Step 5: Solve for x
    x = 52,274,584.66/8,203.47
  6. Step 6: Final answer
    x = 6,372.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.